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The distributive property involves both a multiplication and an addition.
To expand the expression 7x(7y) using the distributive property, you distribute the 7x to both terms inside the parentheses. This results in 7x * 7y = 49xy. The distributive property allows you to multiply each term inside the parentheses by the term outside the parentheses, simplifying the expression.
To apply the distributive property to an algebraic expression, you multiply each term inside the parentheses by the number or variable outside the parentheses. For example, to simplify 2(x + 3), you would multiply 2 by both x and 3, resulting in 2x + 6.
One example of a distributive property equation that equals 26 is (2(10 + 3) = 26). Here, you distribute the 2 to both terms inside the parentheses: (2 \times 10 + 2 \times 3), which simplifies to (20 + 6 = 26).
The distributive property states that for any real numbers a, b, and c, a(b + c) = ab + ac. In this case, applying the distributive property to 20 + 32, we get 1(20) + 1(32) = 20 + 32. The greatest common factor (GCF) for 20 and 32 is 4, as 4 is the largest number that divides both 20 and 32 evenly without leaving a remainder.